


'''simple docstring'''


from __future__ import annotations

from collections.abc import Callable

UpperCAmelCase_						:  int				  =						list[list[float | int]]







def      snake_case_  (    SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__	):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE					:			int							= len(SCREAMING_SNAKE_CASE__	)
				_SCREAMING_SNAKE_CASE					:			Matrix							= [[0 for _ in range(size + 1	)] for _ in range(SCREAMING_SNAKE_CASE__	)]
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			float

				for row in range(SCREAMING_SNAKE_CASE__	):
								for col in range(SCREAMING_SNAKE_CASE__	):
												_SCREAMING_SNAKE_CASE					:			Dict							= matrix[row][col]

								_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= vector[row][0]

				_SCREAMING_SNAKE_CASE					:			List[Any]							= 0
				_SCREAMING_SNAKE_CASE					:			List[str]							= 0
				while row < size and col < size:
								# pivoting
								_SCREAMING_SNAKE_CASE					:			int							= max((abs(augmented[rowa][col]	), rowa) for rowa in range(SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__	)	)[
								    1
								]
								if augmented[pivot_row][col] == 0:
												col += 1
												continue
								else:
												_SCREAMING_SNAKE_CASE						,			_SCREAMING_SNAKE_CASE					:			List[Any]							= augmented[pivot_row], augmented[row]

								for rowa in range(row + 1				, SCREAMING_SNAKE_CASE__	):
												_SCREAMING_SNAKE_CASE					:			Any							= augmented[rowa][col] / augmented[row][col]
												_SCREAMING_SNAKE_CASE					:			Optional[int]							= 0
												for cola in range(col + 1				, size + 1	):
																augmented[rowa][cola] -= augmented[row][cola] * ratio

								row += 1
								col += 1

				# back substitution
				for col in range(1				, SCREAMING_SNAKE_CASE__	):
								for row in range(SCREAMING_SNAKE_CASE__	):
												_SCREAMING_SNAKE_CASE					:			int							= augmented[row][col] / augmented[col][col]
												for cola in range(SCREAMING_SNAKE_CASE__				, size + 1	):
																augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
				return [
				    [round(augmented[row][size] / augmented[row][row]				, 10	)] for row in range(SCREAMING_SNAKE_CASE__	)
				]







def      snake_case_  (    SCREAMING_SNAKE_CASE__	):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE					:			int							= len(SCREAMING_SNAKE_CASE__	)
				_SCREAMING_SNAKE_CASE					:			Matrix							= [[0 for _ in range(SCREAMING_SNAKE_CASE__	)] for _ in range(SCREAMING_SNAKE_CASE__	)]
				_SCREAMING_SNAKE_CASE					:			Matrix							= [[0] for _ in range(SCREAMING_SNAKE_CASE__	)]
				_SCREAMING_SNAKE_CASE					:			Matrix
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			int
				_SCREAMING_SNAKE_CASE					:			int

				for x_val, y_val in enumerate(SCREAMING_SNAKE_CASE__	):
								for col in range(SCREAMING_SNAKE_CASE__	):
												_SCREAMING_SNAKE_CASE					:			int							= (x_val + 1) ** (size - col - 1)
								_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= y_val

				_SCREAMING_SNAKE_CASE					:			Any							= solve(SCREAMING_SNAKE_CASE__				, SCREAMING_SNAKE_CASE__	)

				def interpolated_func(SCREAMING_SNAKE_CASE__	) -> int:
								return sum(
								    round(coeffs[x_val][0]	) * (var ** (size - x_val - 1))
								    for x_val in range(SCREAMING_SNAKE_CASE__	)	)

				return interpolated_func







def      snake_case_  (    SCREAMING_SNAKE_CASE__	):







				"""simple docstring"""





				return (
				    1
				    - variable
				    + variable**2
				    - variable**3
				    + variable**4
				    - variable**5
				    + variable**6
				    - variable**7
				    + variable**8
				    - variable**9
				    + variable**10
				)







def      snake_case_  (    SCREAMING_SNAKE_CASE__ = question_function				, SCREAMING_SNAKE_CASE__ = 10	):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE					:			list[int]							= [func(SCREAMING_SNAKE_CASE__	) for x_val in range(1				, order + 1	)]

				_SCREAMING_SNAKE_CASE					:			list[Callable[[int], int]]							= [
				    interpolate(data_points[:max_coeff]	) for max_coeff in range(1				, order + 1	)
				]

				_SCREAMING_SNAKE_CASE					:			int							= 0
				_SCREAMING_SNAKE_CASE					:			Callable[[int], int]
				_SCREAMING_SNAKE_CASE					:			int

				for poly in polynomials:
								_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= 1
								while func(SCREAMING_SNAKE_CASE__	) == poly(SCREAMING_SNAKE_CASE__	):
												x_val += 1

								ret += poly(SCREAMING_SNAKE_CASE__	)

				return ret


if __name__ == "__main__":
				print(F"{solution() = }")








'''simple docstring'''


import tempfile
import unittest

from make_student import create_student_by_copying_alternating_layers

from transformers import AutoConfig
from transformers.file_utils import cached_property
from transformers.testing_utils import require_torch


UpperCAmelCase_						:  List[Any]				  =						'sshleifer/bart-tiny-random'
UpperCAmelCase_						:  Tuple				  =						'patrickvonplaten/t5-tiny-random'





@require_torch
class        lowercase__    (		unittest.TestCase   ):





							'''simple docstring'''


							@cached_property
							def UpperCAmelCase_      (       self    ):
											return AutoConfig.from_pretrained(__snake_case    )






							def UpperCAmelCase_      (       self    ):
											_SCREAMING_SNAKE_CASE						,			*_SCREAMING_SNAKE_CASE					:			int							= create_student_by_copying_alternating_layers(__snake_case       ,   tempfile.mkdtemp()       ,   e=1       ,   d=1    )
											self.assertEqual(student.config.num_hidden_layers       ,   1    )






							def UpperCAmelCase_      (       self    ):
											_SCREAMING_SNAKE_CASE						,			*_SCREAMING_SNAKE_CASE					:			int							= create_student_by_copying_alternating_layers(__snake_case       ,   tempfile.mkdtemp()       ,   e=1       ,   d=__snake_case    )






							def UpperCAmelCase_      (       self    ):
											_SCREAMING_SNAKE_CASE						,			*_SCREAMING_SNAKE_CASE					:			str							= create_student_by_copying_alternating_layers(__snake_case       ,   tempfile.mkdtemp()       ,   e=1       ,   d=__snake_case    )
											self.assertEqual(student.config.encoder_layers       ,   1    )
											self.assertEqual(student.config.decoder_layers       ,   self.teacher_config.encoder_layers    )






							def UpperCAmelCase_      (       self    ):
											_SCREAMING_SNAKE_CASE						,			*_SCREAMING_SNAKE_CASE					:			Union[str, Any]							= create_student_by_copying_alternating_layers(__snake_case       ,   tempfile.mkdtemp()       ,   e=1       ,   d=1    )
											self.assertEqual(student.config.encoder_layers       ,   1    )
											self.assertEqual(student.config.decoder_layers       ,   1    )






							def UpperCAmelCase_      (       self    ):
											with self.assertRaises(__snake_case    ):
															create_student_by_copying_alternating_layers(__snake_case       ,   tempfile.mkdtemp()       ,   e=__snake_case       ,   d=__snake_case    )




